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Finding the Fourth Proportional to 512.36, 767.62 and 311.64

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Solution

The fourth proportional to 512.36, 767.62 and 311.64 is: 466.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.36 : 767.62 = 311.64 : x
  2. Step 2: Convert to fraction form
    512.36/767.62 = 311.64/x
  3. Step 3: Cross multiply
    512.36x = 767.62 × 311.64
  4. Step 4: Simplify right side
    512.36x = 239,221.10
  5. Step 5: Solve for x
    x = 239,221.10/512.36
  6. Step 6: Final answer
    x = 466.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.